Finding the Fourth Proportional to 6,109.01, 9,164.68 and 2,105.33

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.01 : 9,164.68 = 2,105.33 : x
2. Step 2: Convert to fraction form
   6,109.01/9,164.68 = 2,105.33/x
3. Step 3: Cross multiply
   6,109.01x = 9,164.68 × 2,105.33
4. Step 4: Simplify right side
   6,109.01x = 19,294,693.39
5. Step 5: Solve for x
   x = 19,294,693.39/6,109.01
6. Step 6: Final answer
   x = 3,158.40